Finitely generated subgroups of branch groups and subdirect products of just infinite groups
- 作者: Grigorchuk R.1, Leemann P.2, Nagnibeda T.3,4
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隶属关系:
- Department of Mathematics, Texas A&M University
- Université de Neuchâtel
- University of Geneva
- Saint Petersburg State University
- 期: 卷 85, 编号 6 (2021)
- 页面: 104-125
- 栏目: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/133862
- DOI: https://doi.org/10.4213/im9101
- ID: 133862
如何引用文章
详细
The aim of this paper is to describe the structure of finitely generated subgroups of a familyof branch groups containing the first Grigorchuk group and the Gupta–Sidki $3$-group. We thenuse this to show that all the groups in this family are subgroup separable (LERF).These results are obtained as a corollary of a more general structural statement on subdirectproducts of just infinite groups.
作者简介
Rostislav Grigorchuk
Department of Mathematics, Texas A&M University
Email: grigorch@math.tamu.edu
Paul-Henry Leemann
Université de Neuchâtel
Tat'yana Nagnibeda
University of Geneva; Saint Petersburg State University参考
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